Cops yesterday released chilling video footage that shows a fiend dragging a woman in broad daylight into an alley near Brooklyn College before raping her — and throwing her phone over a wall so she couldn’t call for help.

The suspect first approached the 22-year-old victim near East 27th Street and Glenwood Road at 9:45 a.m. Saturday, police said.

The 5-foot-6 brute punched the helpless woman several times and forced her to walk through a building alley in Midwood, which was about a block from Brooklyn College and Midwood HS, sources said.

He then repeatedly assaulted and raped the woman, police said.

After the attack, the man — who told his victim he had a gun but never showed it — took the woman’s money and cellphone and then bolted, sources said.

He can be seen on surveillance footage throwing what appears to be the phone over a cement wall moments after the attack so that she couldn’t call anyone, cops added.

The victim had several bruises on her face and was struggling yesterday to recover from the traumatic attack.

Cops also recovered a condom in the alley and are testing it for DNA evidence that could help them identify the suspect. He was described as a black male in his mid-20s, 5-foot-6 with a medium build and a bald head.

He was last seen sporting a blue Yankees baseball hat with white brim, a dark gray jacket, a white T-shirt and jeans.

News of the vicious daytime attack shocked local residents.

“I’ve never heard of something like that happening around here,” said Nadia Wesley, 26, who graduated from Midwood HS in 2004 and lives in the neighborhood.

Usually, Wesley said, the area around the nearby Jamaican restaurant where she works will have problems with patron fights and the local homeless community — but never something like this.

She said she’s noticed an increased police presence in the area over the past couple of years, making it even more terrifying that a sicko would think he could get away with such a daylight crime.